Hi. I just need help in visualizing Null space. Like by definition its the space containing all the solutions of Ax = 0 but that does not help much. I mean is it a column vector, a row vector or a matrix itself? Just started studying Linear Algebra so ignore the naivety of the question.

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anonymous · Answer

I would say that the nullspace is the set of (column) vectors (and their linear combinations) which yield the zero vector if you multiply the with your matrix A.

anonymous · Answer

Hi, let's start with the definition of the nullspace of the matrix- it is the set of all solutions which gives Ax=0. For example let A be the matrix |dw:1447265223294:dw| such that |dw:1447265332284:dw|